Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	286×	body	80	nan
7.0ms	268×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	163
1	13	163
2	23	163
3	40	163
4	62	163
5	134	163
6	407	163
7	1334	163
done	5000	163

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.3b	(* y (sqrt x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

11.0ms

(* y (sqrt x))

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

(* y (sqrt x))

simplify2.7s

Counts

25 → 25

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	63	5499
1	157	4303
2	535	4183
3	3316	4023
done	5001	3983

prune99.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
0.3b	(* y (sqrt (sqrt x)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
35.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
13.0ms	(* y (sqrt (sqrt x)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(sqrt (sqrt x))
190.0ms	(sqrt (sqrt x))
51.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
91.0ms	(* y (sqrt (sqrt x)))

simplify1.2s

Counts

100 → 100

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	132	22778
1	353	17846
2	1677	17324
done	5000	16884

prune422.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 x) -1/4)
0.1b	(sqrt (sqrt x))
0.2b	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))
0.3b	(* y (sqrt (sqrt x)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`unpow-prod-down` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
22×	`sqrt-prod`
19×	`prod-exp`
18×	`times-frac`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv` `sqr-pow`
1×	`pow-prod-down` `pow-flip` `inv-pow`

Counts

4 → 117

Calls

4 calls:

12.0ms	(pow (/ 1 x) -1/4)
2.0ms	(sqrt (sqrt x))
46.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))
19.0ms	(* y (sqrt (sqrt x)))

series704.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(pow (/ 1 x) -1/4)
168.0ms	(sqrt (sqrt x))
134.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))
94.0ms	(* y (sqrt (sqrt x)))

simplify2.9s

Counts

129 → 129

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	243	46359
1	715	37996
2	3076	36715
done	5000	36685

prune634.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow (/ 1 x) -1/4))
0.3b	(* y (sqrt (sqrt (sqrt x))))
0.3b	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-exp-log`
52×	`sqrt-prod`
41×	`associate-r`
40×	`prod-exp`
33×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
13×	`pow1` `unpow-prod-down`
12×	`pow-exp`
10×	`cbrt-unprod`
9×	`times-frac`
6×	`div-exp`
5×	`associate-l`
4×	`sqrt-pow1` `pow-prod-down` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `rec-exp` `1-exp` `*-commutative`
2×	`rem-sqrt-square` `pow1/2`
1×	`div-inv` `sqr-pow`

Counts

4 → 123

Calls

4 calls:

3.0ms	(sqrt (sqrt x))
223.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow (/ 1 x) -1/4))
18.0ms	(* y (sqrt (sqrt (sqrt x))))
50.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series563.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(sqrt (sqrt x))
117.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow (/ 1 x) -1/4))
133.0ms	(* y (sqrt (sqrt (sqrt x))))
116.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify2.8s

Counts

135 → 135

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	267	50484
1	740	38535
2	3899	36974
done	5000	36814

prune634.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes218.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	163
1	9	163
done	9	163

end0.0ms

sample1.2s

Algorithm

intervals

Results

447.0ms	8553×	body	80	valid
345.0ms	8462×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid